Assignment3_BatchAug29.ipynb

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   "source": [
    "1.1 Write a Python Program to implement your own myreduce() function which works exactly\n",
    "like Python's built-in function reduce()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15\n"
     ]
    }
   ],
   "source": [
    "def do_sum(x, y): \n",
    "    return x + y\n",
    "\n",
    "def myreduce(func, seq):\n",
    "    first = seq[0]\n",
    "    for i in seq[1:]:\n",
    "        first = func(first, i)\n",
    "    return first\n",
    "\n",
    "mylist=[1,2,3,4,5]\n",
    "print(myreduce(do_sum, mylist))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1.2 Write a Python program to implement your own myfilter() function which works exactly\n",
    "like Python's built-in function filter()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 4, 6, 8]\n"
     ]
    }
   ],
   "source": [
    "mylist=[1,2,3,4,5,6,7,8]\n",
    "evenlist=[]\n",
    "\n",
    "def is_even(x):\n",
    "    if x % 2 == 0:\n",
    "        return True\n",
    "    else:\n",
    "        return False\n",
    "        \n",
    "\n",
    "def myfilter(fun,mylist):\n",
    "    for i in mylist:\n",
    "        a=fun(i)\n",
    "        if a==True:\n",
    "            evenlist.append(i)\n",
    "    return evenlist\n",
    "\n",
    "\n",
    "print(myfilter(is_even, mylist))\n",
    "\n"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "2. Implement List comprehensions to produce the following lists.\n",
    "Write List comprehensions to produce the following Lists\n",
    "['x', 'xx', 'xxx', 'xxxx', 'y', 'yy', 'yyy', 'yyyy', 'z', 'zz', 'zzz', 'zzzz']\n",
    "['x', 'y', 'z', 'xx', 'yy', 'zz', 'xxx', 'yyy', 'zzz', 'xxxx', 'yyyy', 'zzzz']\n",
    "[[2], [3], [4], [3], [4], [5], [4], [5], [6]] \n",
    "[[2, 3, 4, 5], [3, 4, 5, 6],[4, 5, 6, 7], [5, 6, 7, 8]]\n",
    "[(1, 1), (2, 1), (3, 1), (1, 2), (2, 2), (3, 2), (1, 3), (2, 3), (3, 3)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['x', 'xx', 'xxx', 'xxxx', 'y', 'yy', 'yyy', 'yyyy', 'z', 'zz', 'zzz', 'zzzz']"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[i*j for i in ('x','y','z') for j in range(1,5)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['x', 'y', 'z', 'xx', 'yy', 'zz', 'xxx', 'yyy', 'zzz', 'xxxx', 'yyyy', 'zzzz']"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[ i*j for i in range(1,5) for j in ('x','y','z') ] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[2], [3], [4], [3], [4], [5], [4], [5], [6]]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[[j] for i in range(0,3) for j in range(2+i,5+i)] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[2, 3, 4, 5], [3, 4, 5, 6], [4, 5, 6, 7], [5, 6, 7, 8]]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[[i for i in range(2+j,6+j)] for j in range(0,4)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(1, 1), (2, 1), (3, 1), (1, 2), (2, 2), (3, 2), (1, 3), (2, 3), (3, 3)]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[(j,i) for i in range(1,4) for j in range(1,4)]"
   ]
  }
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